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Finding the Fourth Proportional to 5,564, 8,339.52 and 3,097.64

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Solution

The fourth proportional to 5,564, 8,339.52 and 3,097.64 is: 4,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564 : 8,339.52 = 3,097.64 : x
  2. Step 2: Convert to fraction form
    5,564/8,339.52 = 3,097.64/x
  3. Step 3: Cross multiply
    5,564x = 8,339.52 × 3,097.64
  4. Step 4: Simplify right side
    5,564x = 25,832,815.24
  5. Step 5: Solve for x
    x = 25,832,815.24/5,564
  6. Step 6: Final answer
    x = 4,642.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.